Answer
$4 \lt m \lt 8$
Work Step by Step
RECALL:
$\\\\|a|\lt; b \longrightarrow -b \lt a \lt b$
$\\\\$Use this definition of absolute value to have:
$\\\\|m-6| \lt 2 \color{red}\longrightarrow \color{black}-2 \lt m-6 \lt 2$
$\\\\\\$Add 6 to each part to have:
$\\\\-2+6 \lt m-6+6 \lt 2+6
\\\\4 \lt m \lt 8$
